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In this volume readers will find for the first time a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. Special emphasis is given to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. Ample background theory on symplectic reduction and cotangent bundle reduction in particular is provided. Novel features of the book are the inclusion of a systematic treatment of the cotangent bundle case, including the identification of cocycles with magnetic terms, as well as the general theory of singular reduction by stages.
| Autorius: | Jerrold E. Marsden, Gerard Misiolek, Tudor S. Ratiu, Matthew Perlmutter, Juan-Pablo Ortega, |
| Serija: | Lecture Notes in Mathematics |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 2007 |
| Knygos puslapių skaičius: | 544 |
| ISBN-10: | 3540724699 |
| ISBN-13: | 9783540724698 |
| Formatas: | 235 x 155 x 30 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Hamiltonian Reduction by Stages“
